This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
#include <algorithm>
#include <iostream>
#include <bits/stdc++.h>
#include <cmath>
#include <vector>
#define int long long
using namespace std;
const long long mod = 1e9+7;
int binary_exponentiation(int number, int exponent)
{
int result = 1;
while (exponent > 0) {
if(exponent & 1) result = result * number;
number = number * number;
exponent >>= 1;
number%=mod;
exponent%=mod;
}
return result;
}
int make_path(long long seed, int length)
{
long long path = 0;
for (int i = 0; i < min(length, 62LL); i++) {
if (((seed >> i) & 1) == 1) path = (path + binary_exponentiation(2, length - i - 1))%mod;
}
return path;
}
signed main()
{
ios_base::sync_with_stdio(false);
cin.tie(NULL);
long long height, node;
cin >> height >> node;
cout << (make_path(node - 1, height) + 1)%mod << endl;
return 0;
}
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